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Finding the Fourth Proportional to 209,463, 314,189.82 and 51,692.82

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Solution

The fourth proportional to 209,463, 314,189.82 and 51,692.82 is: 77,538.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,463 : 314,189.82 = 51,692.82 : x
  2. Step 2: Convert to fraction form
    209,463/314,189.82 = 51,692.82/x
  3. Step 3: Cross multiply
    209,463x = 314,189.82 × 51,692.82
  4. Step 4: Simplify right side
    209,463x = 16,241,357,811.09
  5. Step 5: Solve for x
    x = 16,241,357,811.09/209,463
  6. Step 6: Final answer
    x = 77,538.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.